Question

Can someone please explain this question. Please give a step by step explanation

Answer 1

45

Explanation:

8 numbers summed and divided by 8 = 41

8numberssummed / 8 = 41

8numberssummed = 41 * 8 = 328

now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers

6numberssummed = 8numberssummed - 29 -29

= 328 -29 -29 = 270

so to find the mean of the remaining six numbers:

6numberssummed / 6 is 270/6 = 45

Answer 2

mean = 45

Explanation:

mean is calculated as

mean =
`(sum)/(count)`

given the mean of 8 numbers is 41 , then

`(sum_(8) )/(8)` = 41 ( multiply both sides by 8 )

sum₈ = 328

given the mean of 2 of the numbers is 29 , then

`(sum_(2) )/(2)` = 29 ( multiply both sides by 2 )

sum₂ = 58

Then

sum₆ = sum₈ - sum₂ = 328 - 58 = 270

then the mean of the other six numbers is

mean =
`(sum_(6) )/(6)` =
`(270)/(6)` = 45